No. Your stance is not the same thing as your claim. You have clearly confused the two terms.

Your stance is where you stand, Pro or Con.Your claim is your argument.

You claimed that your stance is wrong. You support this claim, therefore you are Pro.

Stance and claim are not the same, but they are tied. Your claim is what determines your stance. And your claim determines that your stance be Pro, and you happen to be Pro, therefore your stance in this debate is right.

Okay, you convinced me. My stance in this debate is right, which makes my claim wrong, which also makes the "pro" side correct. That means voters should vote me, even though they'll be wrong in doing so.